Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26832d |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-176849712 = -1 · 24 · 32 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,73,-618] |
[a1,a2,a3,a4,a6] |
Generators |
[58:442:1] |
Generators of the group modulo torsion |
j |
2652219392/11053107 |
j-invariant |
L |
4.0565518156354 |
L(r)(E,1)/r! |
Ω |
0.9132020851745 |
Real period |
R |
2.2210592165152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13416i1 107328cf1 80496u1 |
Quadratic twists by: -4 8 -3 |